Least Common Multiple of 36027 and 36032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36027 and 36032 the smallest integer that is 1298124864 that is divisible by both numbers.

Least Common Multiple (LCM) of 36027 and 36032 is 1298124864.

LCM(36027,36032) = 1298124864

LCM of 36027 and 36032

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 36027 and 36032

LCM of 36027 and 36032 is 1298124864

Least common multiple can be found by multiplying the highest exponent prime factors of 36027 and 36032. First we will calculate the prime factors of 36027 and 36032.

Prime Factorization of 36027


3 36027
3 12009
4003 4003
1

Prime factors of 36027 are 3,4003. Prime factorization of 36027 in exponential form is:

36027 = 32×40031

Prime Factorization of 36032


2 36032
2 18016
2 9008
2 4504
2 2252
2 1126
563 563
1

Prime factors of 36032 are 2,563. Prime factorization of 36032 in exponential form is:

36032 = 26×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 36027 and 36032.

LCM(36027,36032) = 26×32×5631×40031
LCM(36027,36032) = 1298124864

Factors of 36027

List of positive integer factors of 36027 that divides 36027 without a remainder.

1, 3, 9, 4003, 12009, 36027

Factors of 36032

List of positive integer factors of 36032 that divides 36032 without a remainder.

1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032

Least Common Multiple of 36027 and 36032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36027 and 36032, than apply into the LCM equation.

GCF(36027,36032) = 1
LCM(36027,36032) = ( 36027 × 36032) / 1
LCM(36027,36032) = 1298124864 / 1
LCM(36027,36032) = 1298124864

Properties of LCM 36027 and 36032

(i) The LCM of 36032 and 36027 is associative

LCM of 36027 and 36032 = LCM of 36032 and 36027

Related Least Common Multiples of 36027

Related Least Common Multiples of 36032

Frequently Asked Questions on LCM of 36027 and 36032

1. What is the LCM of 36027 and 36032?

Answer: LCM of 36027 and 36032 is 1298124864.

2. What are the Factors of 36027?

Answer: Factors of 36027 are 1, 3, 9, 4003, 12009, 36027. There are 6 integers that are factors of 36027. The greatest factor of 36027 is 36027.

3. What are the Factors of 36032?

Answer: Factors of 36032 are 1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032. There are 14 integers that are factors of 36032. The greatest factor of 36032 is 36032.

4. How to Find the LCM of 36027 and 36032?

Answer:

Least Common Multiple of 36027 and 36032 = 1298124864

Step 1: Find the prime factorization of 36027

36027 = 3 x 3 x 4003

Step 2: Find the prime factorization of 36032

36032 = 2 x 2 x 2 x 2 x 2 x 2 x 563

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1298124864 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 563 x 4003

Step 4: Therefore, the least common multiple of 36027 and 36032 is 1298124864.